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lorasvet [3.4K]
3 years ago
12

Please help me with this! Will give Brainliest for quickest answer!

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
7 0
1. A geometric sequence has a common ratio. You can find the ratio by dividing every number by its previous one. If it is consistent, then the series is geometric.
a: 8/1=8, 27/8=3.375
b: (-3/2)/3=-1/2, (3/4)/(-3/2)=-1/2
c. 7/4=1.75, 10/7=1.429
d. 20/25=0.8, 14/20=0.7

Choice b is the only one that has a common ratio, so it is a geometric series.

2. Every term is multiplied by 1/3, so the common ratio is 1/3. d is the answer.
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What can 6/10 symplify to?
ludmilkaskok [199]
How you simplify fractions is figuring out what the highest number that can go into them is. 
I now that's a bit confusing but I'll explain.
In this case, 2 can go into both 10 and six, (because 2×5=10 and 2×3=6) and no higher number can, so the simplified version of 6/10 is 3/5. (the numbers we multiplied by 2)
6 0
3 years ago
Read 2 more answers
A melting spherical block of ice has its surface area changing at the rate of 24 inch2 /sec at the time the radius is 3 inches.
emmainna [20.7K]
The surface area of the sphere is:
 A = 4 * pi * r ^ 2
 Deriving we have:
 A '= 8 * pi * r * r'
 We clear the speed:
 r '= A' / (8 * pi * r)
 Substituting values:
 r '= 24 / (8 * pi * 3)
 r '= 1 / pi inch / sec
 Then, the volume of the sphere is:
 V = (4/3) * (pi) * (r ^ 3)
 Deriving we have:
 V '= (3) * (4/3) * (pi) * (r ^ 2) * (r')
 Substituting values:
 V '= (3) * (4/3) * (pi) * (3 ^ 2) * (1 / pi)
 Rewriting:
 V '= (4) * (9)
 V '= 36 inch3 / sec
 Answer:
 
the volume of the ice is changing at 36 inch3 / sec at that moment
4 0
3 years ago
Suppose you are taking a multiple choice exam with 61 questions, each with 4 possible answers. If you were to guess at random fo
Brut [27]

Answer:

15.25

Step-by-step explanation:

The probability of getting a question right is 1/4 because there are 4 possible answers, and you're just guessing randomly.

You can expect to get 1/4 of the questions right.

\frac{1}{4}\times 61 =15.25

7 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
aev [14]

Answer: (B) -625

<u>Step-by-step explanation:</u>

Given the sequence {-500, -100, -20, -4, -0.8, ... }, we know that that the first term (a) is -500 and the ratio (r) is \dfrac{-100}{-500}=\dfrac{1}{5}

Input those values into the Sum formula:

S_n=\dfrac{a(1-r^n)}{1-r}\\\\S_8=\dfrac{-500\bigg(1-\dfrac{1}{5}^n\bigg)}{1-\dfrac{1}{5}}\\\\.\quad=\dfrac{-500\bigg(1-\dfrac{1}{390,625}\bigg)}{\dfrac{4}{5}}\\\\.\quad=\dfrac{-500\bigg(\dfrac{390,624}{390,625}\bigg)}{\dfrac{4}{5}}\\\\.\quad=\dfrac{5(-500)(390,624)}{4(390,625)}\\\\.\quad=-624.998\\\\.\quad=-625\quad \text{(rounded to 2 decimal places)}

4 0
3 years ago
ben is making trail mix for 25 people. each person will get 1/8 pound of trial mix. how much trail mix does ben need to make it
worty [1.4K]
ITS 100 trAilmix be because you multiply 25 Times 1/8 and multiply the answer OF 25 Times 1/8 in 25
8 0
3 years ago
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